Theory of Physical and Technical Measurement

Abstract

1. Establishing Algorithms for the Cognition Process. The logical and formal rules for producing images of reality. Physical scales and the ambiguity of images of reality. Multidimensional scales. 2.Standards and the Propagation of Standards. Establishing the standards of units of measurement. Propagation of standards. Single comparison. n-fold comparison with the same primary standard. m-fold comparison with different standards. n-fold comparison with m different primary standards. m times larger measure of a secondary standard. m times smaller measure of a seocndary standard. The certified reference materials. 3. Modelling of Measurement Systems. The general principles of modelling. Modelling of the characteristics of measurement systems. The static model. Dynamic models. Discrete-time models of measurement systems. The modeling of error sources. Probabilistic models. Nonlinear elements. Dynamic elements. Non-stationary error sources. The general model of error. The continuous-time model. The discrete-time model. The correlation of errors. Identification of models of measurement systems. Determination of the variables of a model. Correlation analysis. Regression analysis. The least squares method. Other methods. 4. The Theory of Error. Images of reality in measurement systems. Principles of image production. Optimization of calibration procedures. Definition and classification of errors. The metrological characteristics of measurement systems and standards. Metrological characteristics. Methodology of their determination and interpretation. Determination of class 1 characteristics. Theoretical determination of the limiting distribution of errors. Experimental determination of the limiting distributions of errors. Interpretation of the concept of accuracy class. The basic concepts of inference in the theory of error. 5. Measurement Procedures. Definition of measurement. Procedures describing measurement methods. Calibration procedures. Reading checking and adjustment of measurement systems. Measurement procedures for constant quantities. Single Measurement. Multiple measurement - the measurement series. Measurement procedures for time-dependent quantities. Single measurement. Multiple measurement. 6. The Design of Measurements and Experiments. Selection of standards for calibration of measuring instruments. Transfer of a measure of a standard onto measuring instruments. Selection of the calibration points. The boundary problems of G-optimum designs. The design principles of calibration processes. Selection of the error sampling interval. Error estimation in a correlated-error measurement series. Total error analysis for a measuring instrument. Appendix. The Lebesgue measure of a set. References. Index.